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Finding the Fourth Proportional to 551,446.80, 827,170.20 and 411,478.80

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Solution

The fourth proportional to 551,446.80, 827,170.20 and 411,478.80 is: 617,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,446.80 : 827,170.20 = 411,478.80 : x
  2. Step 2: Convert to fraction form
    551,446.80/827,170.20 = 411,478.80/x
  3. Step 3: Cross multiply
    551,446.80x = 827,170.20 × 411,478.80
  4. Step 4: Simplify right side
    551,446.80x = 340,363,001,291.76
  5. Step 5: Solve for x
    x = 340,363,001,291.76/551,446.80
  6. Step 6: Final answer
    x = 617,218.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.